Abstract
In this chapter the governing equations for wave propagation in a fluid-saturated porous medium are derived and the involved physical mechanisms and acoustic parameters are discussed. It is shown that the stress-strain relations associated with Biot’s theory can be straightforward obtained from constitutive and continuity equations. Equations of motion are derived by combining these stress-strain relations with momentum equations. We present the equations of motion in the two different formulations that are known in the literature.
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van Dalen, K.N. (2013). Governing Equations for Wave Propagation in a Fluid-Saturated Porous Medium. In: Multi-Component Acoustic Characterization of Porous Media. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34845-7_2
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DOI: https://doi.org/10.1007/978-3-642-34845-7_2
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